Question

A researcher wants to determine whether or not a $5$-week crash diet is effective over a long period of time. A random sample of $15$five-week crash dieters is selected. Each person’s weight (in pounds) is recorded before starting the diet and $1$year after it is concluded. Do the data provide convincing evidence that $5$-week crash dieters weigh less, on average, $1$year after finishing the diet?

Short answer

The diet does not have a long-term effect.

Step-by-step solution

Step 1 -  Given information:

We have been given that:

Data of a $5$-week crash diet.

Step 2 -  Explanation:

H0 is being tested: $\mu b=\mu a$versus $H_1:\mu b=\mu a$, where b is the mean of the before weights and an is the mean of the after weights The following table shows the changes between before and after weights: $n=15$ sample size,$m=54/15=3$